Finite Group Databasebeta

← #29698353

Subgroups — #29698353

Order 15616.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839875C211yesmaximal, characteristic
2C2×#16839875C211yesmaximal, characteristic
3C2×C4×D488C211yesmaximal, characteristic
4#21448730C211yesmaximal, characteristic, complemented
5C4⋊C4×D244C211yesmaximal, characteristic, complemented
6#21446562C211yesmaximal, characteristic, complemented
7#21446547C211yesmaximal, characteristic, complemented
8#21446083C211yesmaximal, characteristic, complemented
9#21446083C211yesmaximal, characteristic, complemented
10#21446069C211yesmaximal, characteristic, complemented
11#21446069C211yesmaximal, characteristic, complemented
12#21445987C211yesmaximal, characteristic, complemented
13#21445830C211yesmaximal, characteristic, complemented
14#21445820C211yesmaximal, characteristic, complemented
15C61×#1771C211yesmaximal, characteristic, complemented
16C22×D488C2211yescharacteristic
17C2×C4×D244C2211yescharacteristic
18C2×C4×D244C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21C2×C4×D244C2211yescharacteristic
22C2×C4×D244C2211yescharacteristic
23C2×C4⋊C4×D61—21no—
24#16839875—24no—
25#16839875C418yescomplemented
26C4×D488—24no—
27C2×#14519711C2211yescharacteristic
28C2×#14519711C2211yescharacteristic
29C2×#14519709C2211yescharacteristic
30C2×#14519709C2211yescharacteristic
31C2×#14519709C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519699C2211yescharacteristic
34C2×#14519699C2211yescharacteristic
35C2×#14519699C2211yescharacteristic
36C2×#14519699C2211yescharacteristic
37C2×#14519699C2211yescharacteristic
38#16839660C2211yescharacteristic
39#16839660C2211yescharacteristic
40#16839660C2211yescharacteristic
41#16839660C2211yescharacteristic
42#16839636—21no—
43#16839636—21no—
44#16839633—21no—
45#16839633—21no—
46#16839632C2211yescharacteristic
47#16839628C2211yescharacteristic
48#16839621—21no—
49#16839619—21no—
50#95×D61—21no—
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54#16839525C2211yescharacteristic
55C2×C4⋊C8×C61C2211yescharacteristic
56C2×#97×C61C2211yescharacteristic
57C2×#97×C61C2211yescharacteristic
58C2×C4×C8×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C22×D244C2311yescharacteristic
63C22×D244C2311yescharacteristic
64C22×C4×D61—21no—
65C22×C4×D61—21no—
66C22×C4×D61—21no—
67C22×C4×D61—21no—
68C22×C4×D61—21no—
69C22×C4×D61—21no—
70C2×D488C2×C414yes—
71C2×D488D414yes—
72C2×D488Q814yes—
73C4×D244—22no—
74C4×D244—22no—
75C4×D244—22no—
76C4×D244—22no—
77C4×D244—22no—
78C4×D244—22no—
79C4×D244—41no—
80C4×D244—41no—
81C4×D244—41no—
82C4×D244—41no—
83C4×D244C2×C414yescomplemented
84C4×D244C2×C414yescomplemented
85C2×C4⋊Dic61—21no—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×#11758196—21no—
97C4⋊C4×D61—44no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104#14519711—22no—
105#14519711—41no—
106#14519709—22no—
107#14519709—41no—
108#14519709C2×C414yescomplemented
109#14519699—22no—
110#14519699—22no—
111#14519699—22no—
112#14519699—22no—
113#14519699C2×C414yescomplemented
114#14519699C2×C414yescomplemented
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121C22×C8×C61C2311yescharacteristic
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C2×C4⋊C4×C61D411yescharacteristic
126C2×C4⋊C4×C61D411yescharacteristic
127C2×C42×C61C2311yescharacteristic
128C2×C42×C61C2311yescharacteristic
129C2×C42×C61C2311yescharacteristic
130C4⋊C8×C61—22no—
131#97×C61—22no—
132#97×C61C2×C414yescomplemented
133C4×C8×C61—22no—
134#95×C61D411yescharacteristic
135#95×C61D411yescharacteristic
136C23×D61—21no—
137C23×D61—21no—
138C22×C4×C61C2×D411yescharacteristic
139C22×C4×C61C2×D411yescharacteristic
140C22×C4×C61C2×D411yescharacteristic
141C22×C4×C61C2×D411yescharacteristic
142C22×C4×C61C2×D411yescharacteristic
143C22×C4×C61C2×D411yescharacteristic
144C22×C4×C61C2411yescharacteristic
145C22×Dic61—21no—
146C22×Dic61—21no—
147C22×Dic61—21no—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61—21no—
151C2×D244—21no—
152C2×D244—21no—
153C2×D244—21no—
154C2×D244—21no—
155C2×D244—21no—
156C2×D244—21no—
157C2×D244C22×C412yes—
158C2×D244C22×C412yes—
159C2×D244C2×D412yes—
160C2×D244C2×D412yes—
161C2×D244C2×Q812yes—
162C2×D244C2×Q812yes—
163C2×C4×D61—24no—
164C2×C4×D61—24no—
165C2×C4×D61—42no—
166C2×C4×D61—42no—
167C2×C4×D61—42no—
168C2×C4×D61—42no—
169C2×C4×D61—42no—
170C2×C4×D61—42no—
171C2×C4×D61—42no—
172C2×C4×D61—42no—
173C2×C4×D61—42no—
174C2×C4×D61—42no—
175C2×C4×D61—81no—
176C2×C4×D61—81no—
177C2×C4×D61—81no—
178C2×C4×D61—81no—
179C2×C4×D61—81no—
180C2×C4×D61—81no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61C22×C412yes—
190C2×C8×C61C22×C412yes—
191C2×C8×C61C2×D412yes—
192C2×C8×C61C2×Q812yes—
193C4⋊C4×C61—22no—
194C4⋊C4×C61—41no—
195C42×C61—21no—
196C42×C61—21no—
197C42×C61—21no—
198C42×C61—21no—
199C42×C61C22×C412yes—
200C42×C61#4112yes—
201#11758198—24no—
202#11758198—24no—
203#11758198—42no—
204#11758198—42no—
205#11758198—42no—
206#11758198—42no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—42no—
218C4⋊Dic61—81no—
219C4⋊Dic61C22×C412yes—
220C4⋊Dic61C22×C412yes—
221#11758196—42no—
222#11758196—42no—
223#11758196—81no—
224#11758196—81no—
225D488C4⋊C4116yescomplemented
226C23×C61C22×D411yescharacteristic
227C22×D61—22no—
228C22×D61—22no—
229C22×D61—22no—
230C22×D61—22no—
231C22×D61—22no—
232C22×D61—22no—
233C22×D61—41no—
234C22×D61—41no—
235C22×D61—41no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61C4×D412yes—
257C2×C4×C61C4×D412yes—
258C2×C4×C61AGL(1,ℤ/8)12yes—
259C2×C4×C61C23×C411yescharacteristic
260C2×C4×C61C22×D411yescharacteristic
261C2×C4×C61C22×Q811yescharacteristic
262C2×C4×C61C2×#4111yescharacteristic
263C2×C4×C61H(5,𝔽2)11yescharacteristic
264C2×C4×C612−1+411yescharacteristic
265C2×Dic61—22no—
266C2×Dic61—22no—
267C2×Dic61—41no—
268C2×Dic61—41no—
269C2×Dic61—41no—
270C2×Dic61—41no—
271C2×Dic61—41no—
272C2×Dic61—41no—
273C2×Dic61—41no—
274C2×Dic61—41no—
275C2×Dic61—41no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283D244—22no—
284D244—22no—
285D244—22no—
286D244—22no—
287D244—22no—
288D244—22no—
289D244C2×C4⋊C414yes—
290D244C2×C4⋊C414yescomplemented
291C4×D61—48no—
292C4×D61—84no—
293C4×D61—84no—
294C4×D61—84no—
295C4×D61—84no—
296C4×D61—84no—
297C8×C61—22no—
298C8×C61—41no—
299C8×C61—41no—
300C8×C61C2×C4⋊C414yescomplemented
301#22676—611nomaximal, Sylow
302C22×C61C2×C4×D411yescharacteristic
303C22×C61D4211yescharacteristic
304C22×C61D4×Q811yescharacteristic
305C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
306C22×C61#57511yescharacteristic
307C22×C61#57611yescharacteristic
308C22×C61#57711yescharacteristic
309C2×D61—24no—
310C2×D61—24no—
311C2×D61—42no—
312C2×D61—42no—
313C2×D61—42no—
314C2×D61—42no—
315C2×D61—42no—
316C2×D61—42no—
317C2×D61—42no—
318C2×D61—42no—
319C2×D61—42no—
320C2×D61—42no—
321C2×D61—42no—
322C2×D61—42no—
323C4×C61—22no—
324C4×C61—22no—
325C4×C61—22no—
326C4×C61—41no—
327C4×C61—41no—
328C4×C61—41no—
329C4×C61C22×C4⋊C411yescharacteristic
330C4×C61#52011yescharacteristic
331C4×C61#54711yescharacteristic
332C4×C61#55411yescharacteristic
333Dic61—42no—
334Dic61—42no—
335Dic61—81no—
336Dic61—81no—
337Dic61—81no—
338Dic61—81no—
339C2×#442—611no—
340C2×#442—611no—
341C2×C4×D8—611no—
342#2349—611no—
343D4×C4⋊C4—611no—
344#1944—611no—
345#1941—611no—
346#1864—611no—
347#1864—611no—
348#1862—611no—
349#1862—611no—
350#1847—611no—
351#1804—611no—
352#1802—611no—
353#1771D6111yescharacteristic, complemented
354C2×C61D4×C4⋊C411yescharacteristic
355C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
356C2×C61#294611yescharacteristic
357C2×C61#326411yescharacteristic
358C2×C61#326711yescharacteristic
359C2×C61#338411yescharacteristic
360C2×C61#338911yescharacteristic
361D61—44no—
362D61—44no—
363C22×D8—611no—
364C2×C4×D4—611no—
365C2×C4×D4—611no—
366C2×C4×D4—611no—
367C2×C4×D4—611no—
368C2×C4×D4—611no—
369C2×C4×D4—611no—
370C22×C4⋊C4—1221no—
371#442—618no—
372#442—1224no—
373C4×D8—1224no—
374C2×#107—611no—
375C2×#107—611no—
376C2×#106—611no—
377C2×#106—611no—
378C2×#106—611no—
379C2×C4⋊C8C2×D6111yescharacteristic
380C2×#102—611no—
381C2×#102—611no—
382C2×#102—611no—
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#97C2×D6111yescharacteristic
387C2×#97C2×D6111yescharacteristic
388C2×C4×C8C2×D6111yescharacteristic
389#389—611no—
390#389—611no—
391#389—611no—
392#389—611no—
393#385—1221no—
394#385—1221no—
395#385—1221no—
396#385—1221no—
397#384—611no—
398#382—611no—
399#380—1221no—
400#380—1221no—
401C4×C4⋊C4C2×D6111yescharacteristic
402C2×#95—1221no—
403#340—611no—
404#340—611no—
405#340—611no—
406#340—611no—
407#336C2×D6111yescharacteristic
408#336C2×D6111yescharacteristic
409C61#2267611yescharacteristic, complemented, Sylow
410C22×D4—611no—
411C22×D4—611no—
412C23×C4—1221no—
413C23×C4—1221no—
414C23×C4—1221no—
415C23×C4—1221no—
416C23×C4—1221no—
417C23×C4—1221no—
418C2×D8—614no—
419C2×D8—614no—
420C2×D8—614no—
421C22×C8C22×D6111yescharacteristic
422C22×C8C22×D6111yescharacteristic
423C22×C8C22×D6111yescharacteristic
424C22×C8C22×D6111yescharacteristic
425C4×D4—614no—
426C4×D4—614no—
427C4×D4—1222no—
428C4×D4—1222no—
429C4×D4—1222no—
430C4×D4—1222no—
431C4×D4—1222no—
432C4×D4—1222no—
433C4×D4—2441no—
434C4×D4—2441no—
435C4×D4—2441no—
436C4×D4—2441no—
437C2×C4⋊C4—611no—
438C2×C4⋊C4—611no—
439C2×C4⋊C4—611no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—1221no—
444C2×C4⋊C4—1221no—
445C2×C4⋊C4—1221no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—2444no—
450C2×C4⋊C4D24411yescharacteristic
451C2×C4⋊C4D24411yescharacteristic
452C2×C22⋊C4—1221no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C42C22×D6111yescharacteristic
459C2×C42C22×D6111yescharacteristic
460C2×C42C22×D6111yescharacteristic
461#107—1222no—
462#107—2441no—
463#106—614no—
464#106—1222no—
465#106—2441no—
466C4⋊C8—22no—
467#102—614no—
468#102—614no—
469#102—1222no—
470#102—1222no—
471#102—1222no—
472#102—1222no—
473#97—22no—
474#97C4×D6114yescomplemented
475C4×C8—22no—
476#95—1221no—
477#95—1221no—
478#95—1221no—
479#95—1221no—
480#95—1221no—
481#95—1221no—
482#95D24411yescharacteristic
483#95D24411yescharacteristic
484C24—1221no—
485C24—1221no—
486C2×D4—612no—
487C2×D4—612no—
488C2×D4—612no—
489C2×D4—612no—
490C2×D4—612no—
491C2×D4—612no—
492C2×D4—1221no—
493C2×D4—1221no—
494C2×D4—1221no—
495C2×D4—1221no—
496C2×D4—1221no—
497C2×D4—1221no—
498C22×C4—1221no—
499C22×C4—1221no—
500C22×C4—1224no—
501C22×C4—1224no—
502C22×C4—1221no—
503C22×C4—1221no—
504C22×C4—1221no—
505C22×C4—1221no—
506C22×C4—4881no—
507C22×C4—4881no—
508C22×C4—4881no—
509C22×C4—4881no—
510C22×C4—4881no—
511C22×C4—4881no—
512C22×C4—2442no—
513C22×C4—2442no—
514C22×C4—2442no—
515C22×C4—2442no—
516C22×C4—2442no—
517C22×C4—2442no—
518C22×C4—2442no—
519C22×C4—2442no—
520C22×C4—2442no—
521C22×C4—2442no—
522C22×C4C2×D24411yescharacteristic
523C22×C4C2×D24411yescharacteristic
524C22×C4C2×D24411yescharacteristic
525C22×C4C2×D24411yescharacteristic
526C22×C4C2×D24411yescharacteristic
527C22×C4C2×D24411yescharacteristic
528C22×C4C23×D6111yescharacteristic
529D8—6116no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8C2×C4×D6112yes—
539C2×C8C2×C4×D6112yes—
540C2×C8D4×D6112yes—
541C2×C8Q8×D6112yes—
542C4⋊C4—22no—
543C4⋊C4—41no—
544C4⋊C4—612no—
545C4⋊C4—612no—
546C4⋊C4—1221no—
547C4⋊C4—1221no—
548C4⋊C4—1221no—
549C4⋊C4—1221no—
550C4⋊C4—1221no—
551C4⋊C4—1221no—
552C4⋊C4—1221no—
553C4⋊C4—1221no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—4881no—
557C4⋊C4—4881no—
558C4⋊C4—4881no—
559C4⋊C4—2442no—
560C4⋊C4—2442no—
561C4⋊C4—2442no—
562C22⋊C4—1224no—
563C22⋊C4—1224no—
564C22⋊C4—2442no—
565C22⋊C4—2442no—
566C22⋊C4—2442no—
567C22⋊C4—2442no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42C2×C4×D6112yes—
573C42#1175822212yes—
574C23—1222no—
575C23—1222no—
576C23—1222no—
577C23—1222no—
578C23—1222no—
579C23—1222no—
580C23—2441no—
581C23—2441no—
582C23—2441no—
583C23—2441no—
584C23—2441no—
585C23—2441no—
586C23—2441no—
587C23—2441no—
588C23C22×D24411yescharacteristic
589D4—614no—
590D4—614no—
591D4—1222no—
592D4—1222no—
593D4—1222no—
594D4—1222no—
595D4—1222no—
596D4—1222no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—1222no—
613C2×C4—1222no—
614C2×C4—4884no—
615C2×C4—4884no—
616C2×C4—4884no—
617C2×C4—4884no—
618C2×C4—4884no—
619C2×C4—2448no—
620C2×C4—2441no—
621C2×C4—2441no—
622C2×C4—2441no—
623C2×C4—2441no—
624C2×C4—2441no—
625C2×C4—2441no—
626C2×C4—2441no—
627C2×C4—2441no—
628C2×C4—2441no—
629C2×C4—2441no—
630C2×C4—2441no—
631C2×C4—2441no—
632C2×C4—2441no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4C4×D24412yes—
637C2×C4C4×D24412yes—
638C2×C4#1451980512yes—
639C2×C4C22×C4×D6111yescharacteristic
640C2×C4C2×D4×D6111yescharacteristic
641C2×C4C2×Q8×D6111yescharacteristic
642C2×C4C2×#1175822211yescharacteristic
643C2×C4#1451982311yescharacteristic
644C2×C4#1451982411yescharacteristic
645C8—22no—
646C8—41no—
647C8—41no—
648C8C4⋊C4×D6114yescomplemented
649C22—1224no—
650C22—1224no—
651C22—2442no—
652C22—2442no—
653C22—2442no—
654C22—2442no—
655C22—2442no—
656C22—2442no—
657C22—2442no—
658C22—2442no—
659C22—2442no—
660C22—2442no—
661C22—2442no—
662C22—2442no—
663C22C2×C4×D24411yescharacteristic
664C22D4×D24411yescharacteristic
665C22Q8×D24411yescharacteristic
666C22C2×#1451980511yescharacteristic
667C22#1684056211yescharacteristic
668C22#1684056711yescharacteristic
669C22#1684057411yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—4881no—
677C4—4881no—
678C4—4881no—
679C4—4881no—
680C4—2442no—
681C4—2442no—
682C4C2×C4⋊C4×D6111yescharacteristic
683C4#1684024211yescharacteristic
684C4#1684041711yescharacteristic
685C4#1684047211yescharacteristic
686C2—2444no—
687C2—2444no—
688C2C4⋊C4×D24411yescharacteristic
689C2C4×#1451980511yescharacteristic
690C2#2145465311yescharacteristic
691C2#2145730411yescharacteristic
692C2#2145734911yescharacteristic
693C2#2145872011yescharacteristic
694C2#2145877911yescharacteristic
subgroupG/H
centerC23C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1771C2
socleC23×C61C22×D4
prime radicalC22×D488C22
cosocleC22×C4×C61C24
hypercenter#1771D61
hypocenterC61#22676
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #1771

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
4. #21448730C2semidirect
5. C4⋊C4×D244C2semidirect
6. #21446562C2semidirect
7. #21446547C2semidirect
8. #21446083C2semidirect
9. #21446083C2semidirect
10. #21446069C2semidirect
11. #21446069C2semidirect
12. #21445987C2semidirect
13. #21445830C2semidirect
14. #21445820C2semidirect
15. C61×#1771C2semidirect
25. #16839875C4semidirect
83. C4×D244C2×C4semidirect
84. C4×D244C2×C4semidirect
108. #14519709C2×C4semidirect
113. #14519699C2×C4semidirect
114. #14519699C2×C4semidirect
132. #97×C61C2×C4semidirect
225. D488C4⋊C4semidirect
290. D244C2×C4⋊C4semidirect
300. C8×C61C2×C4⋊C4semidirect
353. #1771D61semidirect
409. C61#22676semidirect
474. #97C4×D61semidirect
648. C8C4⋊C4×D61semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#168398752
C2×C4×D4882
#214487302
C4⋊C4×D2442
#214465622
#214465472
#214460832
#214460692
#214459872
#214458302
#214458202
C61×#17712
#2267661